Hypergeometric τ-Functions of the q-Painleve System of Type E7(1)

被引：10
|
作者：
Masuda, Tetsu [1 ]
机构：
[1] Aoyama Gakuin Univ, Dept Math & Phys, Kanagawa 2298558, Japan
来源：
SYMMETRY INTEGRABILITY AND GEOMETRY-METHODS AND APPLICATIONS | 2009年 / 5卷
关键词：
q-Painleve system; q-hypergeometric function; Weyl group; tau-function; EQUATIONS;
D O I：
10.3842/SIGMA.2009.035
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We present the tau-functions for the hypergeometric solutions to the q-Painleve system of type E-7((1)) in a determinant formula whose entries are given by the basic hypergeometric function W-8(7). By using the W(D-5) symmetry of the function W-8(7), we construct a set of twelve solutions and describe the action of (W) over tilde (D-6((1))) on the set.
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页数：30
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